1 64 -c
- - ---------------------- + 5*c
2 -c 4
72 - 12*c + - + 16*c
c
$$\frac{1}{2} - \frac{64}{16 c + 72 - 12 c^{- c} + \frac{4}{c}} + 5 c^{- c}$$
1/2 - 64/(72 - 12/c^c + 4/c + 16*c) + 5/c^c
0.5 + 5.0/c^c - 64.0/(72.0 + 4.0/c + 16.0*c - 12.0/c^c)
0.5 + 5.0/c^c - 64.0/(72.0 + 4.0/c + 16.0*c - 12.0/c^c)
1 64 -c
- - ---------------------- + 5*c
2 -c 4
72 - 12*c + - + 16*c
c
$$\frac{1}{2} - \frac{64}{16 c + 72 - 12 c^{- c} + \frac{4}{c}} + 5 c^{- c}$$
1/2 - 64/(72 - 12/c^c + 4/c + 16*c) + 5/c^c
Рациональный знаменатель
[src]
1 64 -c
- - ---------------------- + 5*c
2 -c 4
72 - 12*c + - + 16*c
c
$$\frac{1}{2} - \frac{64}{16 c + 72 - 12 c^{- c} + \frac{4}{c}} + 5 c^{- c}$$
-c / 2*c c 2*c 2 2*c 2 c c\
c *\-120*c + 4*c + 40*c - 56*c*c + 16*c *c + 160*c *c + 708*c*c /
-----------------------------------------------------------------------------
/ c 2 c c\
2*\-12*c + 4*c + 16*c *c + 72*c*c /
$$\frac{c^{- c} \left(16 c^{2} c^{2 c} + 160 c^{2} c^{c} - 56 c c^{2 c} + 708 c c^{c} + 4 c^{2 c} - 120 c + 40 c^{c}\right)}{2 \cdot \left(16 c^{2} c^{c} + 72 c c^{c} - 12 c + 4 c^{c}\right)}$$
(-120*c + 4*c^(2*c) + 40*c^c - 56*c*c^(2*c) + 16*c^2*c^(2*c) + 160*c^2*c^c + 708*c*c^c)/(2*c^c*(-12*c + 4*c^c + 16*c^2*c^c + 72*c*c^c))
Объединение рациональных выражений
[src]
-c / c c / c 2 c c\ 2*c 2 c c\
c *\-30*c + 10*c + c *\c - 3*c + 4*c *c + 18*c*c / - 32*c*c + 40*c *c + 180*c*c /
-----------------------------------------------------------------------------------------
/ c 2 c c\
2*\c - 3*c + 4*c *c + 18*c*c /
$$\frac{c^{- c} \left(40 c^{2} c^{c} - 32 c c^{2 c} + 180 c c^{c} + c^{c} \left(4 c^{2} c^{c} + 18 c c^{c} - 3 c + c^{c}\right) - 30 c + 10 c^{c}\right)}{2 \cdot \left(4 c^{2} c^{c} + 18 c c^{c} - 3 c + c^{c}\right)}$$
(-30*c + 10*c^c + c^c*(c^c - 3*c + 4*c^2*c^c + 18*c*c^c) - 32*c*c^(2*c) + 40*c^2*c^c + 180*c*c^c)/(2*c^c*(c^c - 3*c + 4*c^2*c^c + 18*c*c^c))
-c / 2*c c 2*c 2 2*c 2 c c\
c *\c - 30*c + 10*c - 14*c*c + 4*c *c + 40*c *c + 177*c*c /
-----------------------------------------------------------------------
/ c 2 c c\
2*\c - 3*c + 4*c *c + 18*c*c /
$$\frac{c^{- c} \left(4 c^{2} c^{2 c} + 40 c^{2} c^{c} - 14 c c^{2 c} + 177 c c^{c} + c^{2 c} - 30 c + 10 c^{c}\right)}{2 \cdot \left(4 c^{2} c^{c} + 18 c c^{c} - 3 c + c^{c}\right)}$$
(c^(2*c) - 30*c + 10*c^c - 14*c*c^(2*c) + 4*c^2*c^(2*c) + 40*c^2*c^c + 177*c*c^c)/(2*c^c*(c^c - 3*c + 4*c^2*c^c + 18*c*c^c))
c 2*c 2 c c
1 -15*c + 5*c - 16*c*c + 20*c *c + 90*c*c
- + ---------------------------------------------
2 2*c c 2 2*c 2*c
c - 3*c*c + 4*c *c + 18*c*c
$$\frac{1}{2} + \frac{20 c^{2} c^{c} - 16 c c^{2 c} + 90 c c^{c} - 15 c + 5 c^{c}}{4 c^{2} c^{2 c} + 18 c c^{2 c} - 3 c c^{c} + c^{2 c}}$$
1/2 + (-15*c + 5*c^c - 16*c*c^(2*c) + 20*c^2*c^c + 90*c*c^c)/(c^(2*c) - 3*c*c^c + 4*c^2*c^(2*c) + 18*c*c^(2*c))
1 64 -c
- - ---------------------- + 5*c
2 -c 4
72 - 12*c + - + 16*c
c
$$\frac{1}{2} - \frac{64}{16 c + 72 - 12 c^{- c} + \frac{4}{c}} + 5 c^{- c}$$
1 64 -c
- - ---------------------- + 5*c
2 4 12
- + 8 - -- + 16*c + 64
c c
c
$$\frac{1}{2} - \frac{64}{16 c + 8 + 64 - \frac{12}{c^{c}} + \frac{4}{c}} + 5 c^{- c}$$
c
1 64 /1\
- - ----------------------- + 5*|-|
2 c \c/
/1\ 4
72 - 12*|-| + - + 16*c
\c/ c
$$5 \left(\frac{1}{c}\right)^{c} + \frac{1}{2} - \frac{64}{16 c - 12 \left(\frac{1}{c}\right)^{c} + 72 + \frac{4}{c}}$$
1/2 - 64/(72 - 12*(1/c)^c + 4/c + 16*c) + 5*(1/c)^c